Solve -7c-26(3c+7)<-(13-3c)+7

$$- 7 c - 26 ( 3 c + 7 ) < - ( 13 - 3 c ) + 7$$

Solve for c

$$c>-2$$

Solution Steps

Use the distributive property to multiply -26 by 3c+7.

$$-7c-78c-182<-\left(13-3c\right)+7$$

Combine -7c and -78c to get -85c.

$$-85c-182<-\left(13-3c\right)+7$$

To find the opposite of 13-3c, find the opposite of each term.

$$-85c-182<-13-\left(-3c\right)+7$$

The opposite of -3c is 3c.

$$-85c-182<-13+3c+7$$

Add -13 and 7 to get -6.

$$-85c-182<-6+3c$$

Subtract 3c from both sides.

$$-85c-182-3c<-6$$

Combine -85c and -3c to get -88c.

$$-88c-182<-6$$

Add 182 to both sides.

$$-88c<-6+182$$

Add -6 and 182 to get 176.

$$-88c<176$$

Divide both sides by -88. Since -88 is negative, the inequality direction is changed.

$$c>\frac{176}{-88}$$

Divide 176 by -88 to get -2.

$$c>-2$$